skip to main content

SciTech ConnectSciTech Connect

Title: Reflection and diffraction corrections for nonlinear materials characterization by quasi-static pulse measurement

A harmonic acoustic tone burst propagating through an elastic solid with quadratic nonlinearity produces not only a parallel burst of second harmonic but also an often neglected quasi-static pulse associated with the acoustic radiation-induced eigenstrain. Although initial analytical and experimental studies by Yost and Cantrell suggested that the pulse might have a right-angled triangular shape with the peak displacement at the leading edge being proportional to the length of the tone burst, more recent theoretical, analytical, numerical, and experimental studies proved that the pulse has a flat-top shape and the peak displacement is proportional to the propagation length. In this paper, analytical and numerical simulation results are presented to illustrate two types of finite-size effects. First, the finite axial dimension of the specimen cannot be simply accounted for by a linear reflection coefficient that neglects the nonlinear interaction between the combined incident and reflected fields. Second, the quasistatic pulse generated by a transducer of finite aperture suffers more severe divergence than both the fundamental and second harmonic pulses generated by the same transducer. These finite-size effects can make the top of the quasi-static pulse sloped rather than flat and therefore must be taken into consideration in the interpretation of experimentalmore » data.« less
Authors:
 [1] ;  [2] ;  [3]
  1. School of Aerospace Systems, University of Cincinnati, Cincinnati, Ohio 45221 (United States)
  2. Department of Civil and Environmental Engineering, Northwestern University, Evanston, Illinois 60208 (United States)
  3. College of Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332, Republic of Georgia (Georgia)
Publication Date:
OSTI Identifier:
22263816
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1581; Journal Issue: 1; Conference: 40. annual review of progress in quantitative nondestructive evaluation, Baltimore, MD (United States), 21-26 Jul 2013, 10. international conference on Barkhausen noise and micromagnetic testing, Baltimore, MD (United States), 21-26 Jul 2013; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APERTURES; COMPUTERIZED SIMULATION; DIFFRACTION; INTERACTIONS; PEAKS; PULSES; REFLECTION; SOLIDS; TRANSDUCERS